Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/66, 591/89, 694/168 quickly i.e. 4511694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/66, 591/89, 694/168 is 4511694.
LCM(22/66, 591/89, 694/168) = 4511694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/66,591/89,694/168
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 22,591,694
Least Common Multiple of Numerators i.e. LCM of 22,591,694 is 4511694.
GCF of Denominators means GCF of 66,89,168 as per the given fractions.
GCF of 66,89,168 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,591,694
2 | 22, 591, 694 |
11, 591, 347 |
∴ So the LCM of the given numbers is 2 x 11 x 591 x 347 = 4511694
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 22,591,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,591,694) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,591,694) x common factors =1 x 2 = 2
LCM(22,591,694) = ( 22 × 591 × 694 ) / 2
LCM(22,591,694) = 9023388 / 2
LCM(22,591,694) = 4511694
Lets's calculate GCF of 66,89,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4511694/1
Therefore the LCM of Fractions 22/66,591/89,694/168 is 4511694
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 66,89,168 . The biggest common factor number is the GCF number.
So the greatest common factor 66,89,168 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 22/66, 591/89, 694/168?
Answer: LCM of Numerators as per given numbers 22/66, 591/89, 694/168 is
LCM of Numerators i.e. for 22,591,694 is 4511694
GCF of denominators i.e. for 66,89,168 is 1.
Thus, LCM of Fractions is 4511694.Finally, LCM of Fractions for 22/66, 591/89, 694/168 is 4511694.